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Roman55 [17]
2 years ago
9

In 10 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller bel

t moves the same quantity of cans the same distance in 30 minutes. If both belts are​ used, find how long it takes to move the cans to the storage area.
Mathematics
1 answer:
likoan [24]2 years ago
8 0
Let us calculate the speed of each conveyor belt. The bigger one does 300 pounds in 10 minutes, hence its speed is 300 pounds/ 10 minutes=30 pounds/min. The smaller one needs 30 minutes, hence its speed is 300 pounds/ 30 minutes=10 pounds/min. We see that the total speed of both machines if they work together is 30+10=40 pounds/min. We have then that the two machines together can transfer 300 pounds in 300/40=7.5 minutes.
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A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires sub
lianna [129]

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t=   11/ 105.25 √1/5+ 1/10

t=  11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

5 0
3 years ago
What numbers multiplie to equal -30 but add to equal -1
VashaNatasha [74]

Answer:

5 and -6.

Step-by-step explanation:

When you add 5 and -6, you get -1. When they are multiplied, you get -30. I just did this by finding all of the factors that went into 30 and making one negative.

5 0
3 years ago
Consider the expression 16a + 4c.
kari74 [83]
The answer would -38
4 0
3 years ago
The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N? PLEASE HELP
Alekssandra [29.7K]

Answer:

C.    m∠N = 69°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180.

m∠L + m∠M + m∠N = 180

36 + 75 + m∠N = 180

111 + m∠N = 180

m∠N = 69°

4 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!
MaRussiya [10]
The answer is the top answer

6 0
3 years ago
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